What is the Greatest Common Factor of 80441 and 80448?

Greatest common factor (GCF) of 80441 and 80448 is 1.

GCF(80441,80448) = 1

We will now calculate the prime factors of 80441 and 80448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80441 and 80448.

How to find the GCF of 80441 and 80448?

We will first find the prime factorization of 80441 and 80448. After we will calculate the factors of 80441 and 80448 and find the biggest common factor number .

Step-1: Prime Factorization of 80441

Prime factors of 80441 are 257, 313. Prime factorization of 80441 in exponential form is:

80441 = 257¹ × 313¹

Step-2: Prime Factorization of 80448

Prime factors of 80448 are 2, 3, 419. Prime factorization of 80448 in exponential form is:

80448 = 2⁶ × 3¹ × 419¹

Step-3: Factors of 80441

List of positive integer factors of 80441 that divides 80441 without a remainder.

1, 257, 313

Step-4: Factors of 80448

List of positive integer factors of 80448 that divides 80441 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 419, 838, 1257, 1676, 2514, 3352, 5028, 6704, 10056, 13408, 20112, 26816, 40224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80441 and 80448. The biggest common factor number is the GCF number.
So the greatest common factor 80441 and 80448 is 1.

Also check out the Least Common Multiple of 80441 and 80448